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mr Goodwill [35]
3 years ago
12

Given: ∆MNP, PM = 8 m∠P = 90°, m∠N = 58° Find: Perimeter of ∆MNP

Mathematics
1 answer:
VashaNatasha [74]3 years ago
8 0

Answer:

24.43 units to the nearest hundredth.

Step-by-step explanation:

We first need to find the lengths of sides PN and MN.

tan 58 = 8/PN

PN = 8 / tan58 = 5 .

sin 58 =  8 / MN

MN = 8 / sin 58 = 9.43.

So the perimeter = 8 + 5 + 9.43 = 22.43.

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Allushta [10]

Answer:

y=1/4x slope is 1/4

Step-by-step explanation:

add 1 to 2 to get 3 for the change in y, then add 4 to -2 to get 2 for the change in x, then put the change in y (1), over the change in x (4), to get a slope of 1/4

5 0
3 years ago
240 is 60% of what number?
Brums [2.3K]
Hi there! To find the answer to that question, we can write and solve a proportion. Set it up like this: 240/x = 60/100. This is because we're looking for the whole and we already know the part, which is 240. Cross multiply the values in order to get 24,000 = 60x. Now, divide each side by 60 to isolate the variable. When you do, you get x = 400. You can check this by dividing and then multiplying that quotient by 100. 240/400 is 0.6 and 0.6 * 100 is 60. That makes 60%. There. 240 is 60% of 400.
3 0
3 years ago
Read 2 more answers
Find the value of f(9) and g(-9) if f(×) = -7×-9 and g(×) = 6×3-23×
Vlada [557]

Answer:

f(9)= -72

g(-9)= 225

Step-by-step explanation:

First put the original equation

f(x)=-7x-9

Next plug in the number f(9)

f(9)=-7(9)-9

After multiply -7(9) which gets you -63

f(9)=-63-9

Then subtract -63-9 which gets you -72

f(9)=-72

-----------------------------------------------------------

First put the original

g(x)=6x3-23x

Next plug in the number g(-9)

g(-9)=6x3-23(-9)

After multiply 6x3 which gives you 18 then multiply -23(-9)

g(-9)=18+207

then add 18+207 which gives you 225

g(-9)=225

8 0
3 years ago
the perimeter of a rectangle is 60 inches. if the length is 4 more than 3 times the width, what is the length and width of the r
Mars2501 [29]
Width = x
length = 3x + 4

x + x + 3x + 4 + 3x + 4 = 60
add
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subtract
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x = 6.5

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4 0
3 years ago
Please help me with thiss
olchik [2.2K]

Answer:

gradient = 2

Step-by-step explanation:

Calculate the gradient (slope) m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (1, 0) and (x₂, y₂ ) = (6, 10) ← 2 points on the line

m = \frac{10-0}{6-1} = \frac{10}{5} = 2

3 0
2 years ago
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